Inbreeding effective population size - Boston...
Transcript of Inbreeding effective population size - Boston...
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More Effective Population Size Concepts
v Inbreeding effective population size ² the size of an ideal population with the same
probability of randomly sampled alleles being IBD as the real population
v Variance effective population size ² the size of an ideal population with the same
sampling variance in allele frequency as the real population
Inbreeding effective population size
v observed change in heterozygosity (IBD) over time can be used to estimate Ne
P IBD( ) = 12Ne
Nei =
12P IBD( )
Nei ! "
t2 ln Ht /H0( )
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Variance effective population size
v observed changes in allele frequencies over time can be used to estimate Ne
var !p( ) = pt"1qt"12Ne
Nev =
pq2xvar !p( )
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allele frequencies relative heterozygosity
1000 reps Ht=3 = 0.466187 Ht=4 = 0.463123 -0.00659416 75.82 Ht=0 = 0.50 Ht=4 = 0.463123 -0.0766154 26.10
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var !p( ) = 1n"1( )
!p"!p( )#2
! var(p) = 1n"1( )
p" p( )#2
1000 reps 0.502955 t4-3=0.000425 0.233094 0.00112872 103.26 0.502955 t4-0=0.002955 0.25 0.01844689 27.10
Random genetic drift in 107 Drosophila populations; 8 males, 8 females each generation
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Ht = 1! 12Ne
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#$
%
&'
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H0
( H0e!t2Ne